λ
Prime Ledger

2,667,647

2667647
Deficient Odd Prime

2,667,647 has the prime decomposition 2667647. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 2667647
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,667,648
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2667641 ← → #2667659

Radix Representation

Decimal 2667647
Binary 1010001011010001111111 (22 bits)
Octal 0o12132177
Hexadecimal 0x28B47F

Divisor Catalog (2)

Collatz Trajectory (218 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,667,647 8,002,942 4,001,471 12,004,414 6,002,207 18,006,622 9,003,311 27,009,934 13,504,967 40,514,902 20,257,451 60,772,354 30,386,177 91,158,532 45,579,266 22,789,633 68,368,900 34,184,450 17,092,225 51,276,676 25,638,338 12,819,169 38,457,508 19,228,754 9,614,377 28,843,132 14,421,566 7,210,783 21,632,350 10,816,175 32,448,526 16,224,263 48,672,790 24,336,395 73,009,186 36,504,593 109,513,780 54,756,890 27,378,445 82,135,336 41,067,668 20,533,834 10,266,917 30,800,752 15,400,376 7,700,188 3,850,094 1,925,047 5,775,142 2,887,571 8,662,714 4,331,357 12,994,072 6,497,036 3,248,518 1,624,259 4,872,778 2,436,389 7,309,168 3,654,584

More profiles

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